Solution of problem N3727 probability theory total prob

Solution of problem N3727 probability theory total prob

3727. Let the probabilities of whether a failure occurs in the arithmetic unit or in the operational memory while working in a digital electronic machine are correlated as 4: 6, and the probabilities of detecting a failure in the arithmetic unit or in the operating memory are respectively 0.7 and 0.8 , the probability that a failure in the car will not be detected is:

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)